LCM of 125, 960, 788, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 125, 960, 788, 720 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 125, 960, 788, 720. So, keep reading to learn more.
Given numbers are 125,960,788,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 125,960,788,720 is 14184000.
Find LCM of 125,960,788,720 with Prime Factorization
| 2 | 125, 960, 788, 720 |
| 2 | 125, 480, 394, 360 |
| 2 | 125, 240, 197, 180 |
| 2 | 125, 120, 197, 90 |
| 3 | 125, 60, 197, 45 |
| 5 | 125, 20, 197, 15 |
| 25, 4, 197, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 25 x 4 x 197 x 3 = 14184000
Therefore, the lowest common multiple of 125,960,788,720 is 14184000.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
125 x 960 x 788 x 720 = 68083200000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
125 : 1, 5, 25, 125
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
788 : 1, 2, 4, 197, 394, 788
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,960,788,720, is 1.
Now, the common factors can be found like this.
125:5x 5x 5
960:2x 2x 2x 2x 2x 2x 3x 5
788:2x 2x 197
720:2x 2x 2x 2x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 3x 5x 5 = 4800
Therefore, the value for common factors is 4800.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 68083200000/(1x4800)
LCM = 68083200000/4800
LCM = 14184000
Thus, we can understand that the LCM of 125,960,788,720 is 14184000.
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FAQs on LCM of 125, 960, 788, 720
1. What is the LCM of 125, 960, 788, 720?
Answer: LCM of 125, 960, 788, 720 is 14184000.
2. How to calculate the LCM of 125, 960, 788, 720?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 125, 960, 788, 720.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.